The Julia Set and the Fast Escaping Set of a Quasiregular Mapping

被引：10

作者：

Bergweiler, Walter ^{[1
]}

Fletcher, Alastair ^{[2
]}

Nicks, Daniel A. ^{[3
]}

机构：

[1] Univ Kiel, Math Seminar, D-24098 Kiel, Germany

[2] No Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA

[3] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

来源：

COMPUTATIONAL METHODS AND FUNCTION THEORY | 2014年 / 14卷 / 2-3期

关键词：

Quasiregular mapping; Iteration; Dynamics; Julia set; Fast escaping set; DYNAMICS;

D O I：

10.1007/s40315-014-0051-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is shown that for quasiregular maps of positive lower order, the Julia set coincides with the boundary of the fast escaping set.

引用

页码：209 / 218

页数：10

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